Totally real surfaces in \(\mathbb{C} P^ 2\) with parallel mean curvature vector (Q1196613)
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scientific article; zbMATH DE number 89251
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Totally real surfaces in \(\mathbb{C} P^ 2\) with parallel mean curvature vector |
scientific article; zbMATH DE number 89251 |
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Totally real surfaces in \(\mathbb{C} P^ 2\) with parallel mean curvature vector (English)
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16 January 1993
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The authors show that every connected totally real surface in \(\mathbb{C} P^ 2\) (endowed with the Fubini-Study metric of constant holomorphic sectional curvature 4) with constant Gaussian curvature and parallel mean curvature vector field is either flat or totally geodesic in \(\mathbb{C} P^ 2\).
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totally real surface
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constant Gaussian curvature
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parallel mean curvature vector field
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0.95585334
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0.9277391
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